Abstract:
Connections between various problems on the maximum of the product of conformal radii of nonoverlapping simply connected domains are established. These connections are used for solving two problems of such type.
Citation:
G. V. Kuz'mina, “On connection of different problems on extremal decomposition”, Analytical theory of numbers and theory of functions. Part 15, Zap. Nauchn. Sem. POMI, 254, POMI, St. Petersburg, 1998, 116–131; J. Math. Sci. (New York), 105:4 (2001), 2197–2209
\Bibitem{Kuz98}
\by G.~V.~Kuz'mina
\paper On connection of different problems on extremal decomposition
\inbook Analytical theory of numbers and theory of functions. Part~15
\serial Zap. Nauchn. Sem. POMI
\yr 1998
\vol 254
\pages 116--131
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl898}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1691401}
\zmath{https://zbmath.org/?q=an:0995.30018}
\transl
\jour J. Math. Sci. (New York)
\yr 2001
\vol 105
\issue 4
\pages 2197--2209
\crossref{https://doi.org/10.1023/A:1011333209495}
Linking options:
https://www.mathnet.ru/eng/znsl898
https://www.mathnet.ru/eng/znsl/v254/p116
This publication is cited in the following 4 articles:
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